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Finding the Third Proportional to 222,957 and 488,205

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Solution

The third proportional to 222,957 and 488,205 is: 1,069,013.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,957 : 488,205 = 488,205 : x
  2. Step 2: Convert to fraction form
    222,957/488,205 = 488,205/x
  3. Step 3: Cross multiply
    222,957x = 488,205 × 488,205
  4. Step 4: Simplify right side
    222,957x = 238,344,122,025
  5. Step 5: Solve for x
    x = 238,344,122,025/222,957
  6. Step 6: Final answer
    x = 1,069,013.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.